Streamline analysis of MHD flow in a double lid-driven cavity

Abstract

The magnetohydrodynamic flow of an incompressible, steady and electrically conducting fluid is considered in double lid-driven square cavity under an inclined magnetic field. The non-dimensional governing equations are solved numerically using a radial basis function (RBF) approximation meshless method in order to obtain the flow patterns. Hartmann number [Formula: see text] and the inclination angle of magnetic field [Formula: see text] are taken as a problem variables that produce various flow transformations by their variation for [Formula: see text]. Streamlines are examined topologically, and it has been observed that the inclination angle and strength of magnetic field have different influence on the bifurcation of flow structures.